کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603483 1336962 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sign balance for finite groups of Lie type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Sign balance for finite groups of Lie type
چکیده انگلیسی

A product formula for the parity generating function of the number of 1’s in invertible matrices over Z2 is given. The computation is based on algebraic tools such as the Bruhat decomposition. It is somewhat surprising that the number of such matrices with odd number of 1’s is greater than the number of those with even number of 1’s. The same technique can be used to obtain a parity generating function also for symplectic matrices over Z2. We present also a generating function for the sum of entries of matrices over an arbitrary finite field Fq calculated in Fq. The Mahonian distribution appears in these formulas.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 1, 1 July 2008, Pages 224-233